Question
Derrick and Maria went to the drive-in theater. They paid an entry fee for the car and individual entry fees for themselves. Their total cost can be modeled by the expression `4.5x+15`. Which of the following answer choices accurately interprets a part of the algebraic expression?
the entry fee for the car was 4.50
each indival entry fee was 15.00
each inivsaial entry fee was 4.50
the entry fee for the car was 19.50
the entry fee for the car was 4.50
each indival entry fee was 15.00
each inivsaial entry fee was 4.50
the entry fee for the car was 19.50
Answers
GPT-4o mini
To analyze the expression \(4.5x + 15\), we can break it down:
- The term \(4.5x\) represents the cost associated with individual entry fees, where \(x\) is the number of individuals (like Derrick and Maria) in the car. Here, \(4.5\) signifies the individual entry fee for each person.
- The constant term \(15\) would typically represent a flat fee, which in this context could be interpreted as the entry fee for the car.
Now, let’s evaluate the options given:
1. **the entry fee for the car was 4.50** - This is incorrect. \(4.50\) is the individual entry fee.
2. **each individual entry fee was 15.00** - This is incorrect. The individual entry fee is \(4.50\), not \(15.00\).
3. **each individual entry fee was 4.50** - This is correct.
4. **the entry fee for the car was 19.50** - This is incorrect. The entry fee for the car is represented by the constant term \(15\).
Based on this breakdown, the correct interpretation from the choices given is:
**each individual entry fee was 4.50**.
- The term \(4.5x\) represents the cost associated with individual entry fees, where \(x\) is the number of individuals (like Derrick and Maria) in the car. Here, \(4.5\) signifies the individual entry fee for each person.
- The constant term \(15\) would typically represent a flat fee, which in this context could be interpreted as the entry fee for the car.
Now, let’s evaluate the options given:
1. **the entry fee for the car was 4.50** - This is incorrect. \(4.50\) is the individual entry fee.
2. **each individual entry fee was 15.00** - This is incorrect. The individual entry fee is \(4.50\), not \(15.00\).
3. **each individual entry fee was 4.50** - This is correct.
4. **the entry fee for the car was 19.50** - This is incorrect. The entry fee for the car is represented by the constant term \(15\).
Based on this breakdown, the correct interpretation from the choices given is:
**each individual entry fee was 4.50**.